Question

Use the given row transformation to transform the following matrix.

Answer 1

The 2 x 2 matrix is given

`\begin{bmatrix}{2} & {8} \\ {10} & {7} \\ {} & {}\end{bmatrix}`

The row transformation given is:

`(1)/(2)R_1`

this means we take half of all the elements of Row 1

The process is shown below:

`\begin{gathered} \begin{bmatrix}{(1)/(2)*2} & {(1)/(2)*8} & \\ {10} & {7} & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{1} & {4} & \\ {10} & {7} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}`

Hence, the final matrix Row 2 is same as previous matrix, but Row 1 is half of the elements of previous matrix.

Answer:

`\begin{bmatrix}{1} & {4} & \\ {10} & {7} & {} \\ {} & {} & {}\end{bmatrix}`